Question
$$9-10w-7 = 2-10w$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 9-10w-7 &= 2-10w&& \text{simplify left and right hand side} \\[1 em]-10w+2 &= -10w+2&& \text{move the $ \color{blue}{ -10w } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]-10w+10w &= 2-2&& \text{simplify left and right hand side} \\[1 em]-10w+10w &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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